A plank having mass M is placed on smooth horizontal surface. Block of mass m is placed on it coefficient of friction between block and plank is `mu_(0)+kx`, where k is constant and x is relative displacement between block and plank. A force F is applied on block where `F=at`, where a=10 t is in second. find `t_(0)` when relative motion will occur between block and plank.

A block of mass m is kept on an another block of mass M. The coefficient of friction between the blocks varies as mu=(mu_(0)+kx) while friction between lower block and ground is zero. A time varying force F = 10t is applied horizontally on the upper block. Find time t_(0) when relative motion will start between the blocks. (x is relative displacement between the blocks.)

A block of mass m is kept on an another block of mass M. The coefficient of friction between the blocks varies as mu=(mu_(0)+kx) while friction between lower block and ground is zero. A time varying force F = 10t is applied horizontally on the upper block. Find time t_(0) when relative motion will start between the blocks. (x is relative displacement between the blocks.)

A block of mass m is pushed with a velocity v_(0) along the surface of a trolley car of mass M . If the horizontal ground is smooth and the coefficient of kinetic friction between the block of plank is mu . Find the minimum distance of relative sliding between the block and plank.

A block of mass m is pushed with a velocity v_(0) along the surface of a trolley car of mass M . If the horizontal ground is smooth and the coefficient of kinetic friction between the block of plank is mu . Find the minimum distance of relative sliding between the block and plank.

A block of mass m is gently placed over a massive plank moving horizontal over a smooth surface with velocity 10 ms^(-1) . The coefficient of friction between the block and the plank is 0.2. The distance travelled by the block till it slides on the plank is [g = 10 ms^(-2)]

A block of mass m is gently placed over a massive plank moving horizontal over a smooth surface with velocity 10 ms^(-1) . The coefficient of friction between the block and the plank is 0.2. The distance travelled by the block till it slides on the plank is [g = 10 ms^(-2)]

A plank of mass 10 kg and a block of mass 2 kg are placed on a horizontal plane as shown in the figure. There is no friction between plane and plank. The coefficient of friction between block and plank is 0.5 .A force of 60 N is applied on plank horizontally. In first 2 s the work done by friction on the block is

A plank of mass 10 kg and a block of mass 2 kg are placed on a horizontal plane as shown in the figure. There is no friction between plane and plank. The coefficient of friction between block and plank is 0.5 .A force of 60 N is applied on plank horizontally. In first 2 s the work done by friction on the block is

A plank of mass 2 kg and length 1 m is placed on horizontal floor.A small block of mass 1 kg is placed on top of the plank , at its right extreme end .The coefficient of friction between plank and floor is 0.5 and that between plank and block is 0.2 . If a horizontal force = 30 N starts acting on the plank to the right ,the time after which the block will fall off the plank is (g = 10 ms^(-2))

A plank of mass 2 kg and length 1 m is placed on horizontal floor.A small block of mass 1 kg is placed on top of the plank , at its right extreme end .The coefficient of friction between plank and floor is 0.5 and that between plank and block is 0.2 . If a horizontal force = 30 N starts acting on the plank to the right ,the time after which the block will fall off the plank is (g = 10 ms^(-2))